Chapter 270 Going against each other, are all full marks?

This is the first problem to be solved.

But it couldn’t be easier.

Just a little more steps, Jiang Nan took five minutes to get it done, and made sure that there were no penalty points.

Then look to the second answer question.

“P is a convex polyhedron, which satisfies the following two properties: (i) each vertex of P belongs to exactly 3 different faces; (ii) for any k greater than or equal to 3, there are exactly an even number of k polygonal faces in P .

An ant starts from the midpoint of a certain edge, crawls along the edge, and walks a closed path L. ”

“Go through every point on L exactly once, and finally return to the starting point L to divide the surface of P into two parts, so that for any greater than equal, the number of k-sided faces in the two parts is equal.

Prove: The number of times the ant turns left and turns right while crawling is equal. ”

This question is a bit complicated at first glance.

But that’s only at first glance.

Although it was a geometric problem at the beginning.

But in fact it is indeed a set problem, and then using functions and Euler’s theorem, it can be easily proved.

Jiang Nan turned his brain for a moment, and soon had an idea, and then he picked up the super water-based pen and just did it.

“Prove……

“Let L divide the surface of P into two parts M and N.”

“Let’s observe the closed path L first…”

“It can be seen that the vertices passed by the ant turning left at an intersection belong to two polygonal faces in a certain part (maybe set to M). If the next intersection turns left, then at this time…”

“Remember that all vertices on the closed path L form a set S.”

“…”

“According to Euler’s Theorem…”

“…”

“To sum up 123…”

“U=v can be obtained, and x=y can be substituted into it, and it can be proved that the number of times the ant turns to the left and turns to the right in the crawl is equal.”

“…”

Less than thirty minutes.

Jiang Nan finished the whole set of papers.

But it did not immediately hand in the paper.

After all, it is the final. In order to control the full score, the check must be checked, and points cannot be deducted for carelessness.

It’s a small thing if you don’t get the points reward, if someone looks down on it, then he can’t swallow the breath.

After forty minutes.

Jiang Nan finally got up and handed in the paper.

but……

Compared to the three-and-a-half-hour test time, his speed is already very, very fast.

It is definitely the fastest in all Olympiad examination rooms.

to this end!

Many people in the classroom looked at him, and the invigilator also collected his papers with a cold expression.

Um!

The attitude is not very good!

Obviously, everyone thought that he was not good enough and couldn’t make a question, so he gave up before handing in the paper.

As for Jiang Nan, they had done it all, they couldn’t even think about it before seeing the curly noodles with their own eyes.

but……

Jiang Nan didn’t care about it either.

With a group of surprised eyes, he left the examination room.



Fang Guoping seemed to have known Jiang Nan would hand in papers in advance, and he was already waiting outside the examination room.

When I saw Jiang Nan.



He immediately came up with a smile, “Jiang Nan, how is the test? I heard that the first round of the finals is quite difficult.”

“It’s even much harder than the S-book in the semi-finals I published before. How much do you think you can test?”

“…”

“Is it difficult?”

“I think it’s okay!”

“Is it too much? One hundred points should be fine.”

Jiang Nan said calmly.

If someone else heard this, they would be stunned with their eyes wide open, and immediately sprayed his face with a sip of salt soda.

f*ck!

This is the final exam paper.

Although it was only the first round, the difficulty was not so high, but Jiang Nan said 100 points were fine?

This is like seeing the sea in the kitchen.

Bragging bullfrog!

However……

When Fang Guoping heard this, he was not surprised at all, as if Jiang Nan could get 100 points in the test, it would be normal.

Who made this Jiang Nan?

He is a mathematics genius, a genius, a genius, and a genius among the geniuses.

on the contrary!

Not only was he not surprised, but he was slightly surprised, “Why, didn’t you control the score again this time? You actually got 100 points on the test?”

“I never control points!”

Fang Guoping: “%¥#@#¥%……”

Hearing this, he almost wanted to vomit blood.

Jiang Nan said he never controls points?

Who believes this?

When the Olympiad rematch, 60 points in one round, 88 points in the second round, 99 points in the third round, the same is true for other competitions.

And he scored 100 points for Jiang Nan, but Jiang Nan still had to make a self-report to deduct one point.

He had already understood Jiang Nan’s invincible strength.

same!

He couldn’t be more clear about Jiang Nan’s daily scoring nature, not that Jiang Nan had a bad temperament.

It is that this kid is too strong, after reaching a certain level, he likes to play the world.

But the result…

Didn’t control the score in this exam?

this……

It really surprised Fang Guoping.

but……

It is impossible for Jiang Nan to explain to him, this time the system showed great kindness and allowed him to get full marks in the test.

This matter has been exposed, not to go into details.

Three hours later, as the bell rang, the first round of the final was over, and many candidates turned in their papers one after another.

After Fang Guoping received someone, he organized a meal together, but Jiang Nan was not there, just because he went back to the hotel to rest early.

Worth the first sentence.

People like Lin Yu and Lin Qianqian handed in their papers on time, but Chubei was more than half an hour ahead of schedule.

As for the purpose, needless to say, just to show off your strength and show off to someone.

But the result…

Finally waited until the exam was over, but he did not see Jiang Nan coming out. It was not until Fang Guoping took everyone to lunch that he learned that Jiang Nan had handed in the papers before him.

Gee!

Almost vomiting blood with anger.

This is gossip, I won’t talk about it for the time being.

At 3 o’clock in the afternoon, the person in charge of the finals announced the results in the auditorium of Magic University.

Then……

“Fuck!”

“Full marks, there are actually two full marks?”

“This is the Olympiad final! Although it’s only the first round, it’s not a rematch, let alone a preliminary round. The papers are surprisingly difficult, especially for the two answer questions. They vomited blood during the labor examination. As a result, some people got full marks. Two?”

“Are they the devil?”

“I know this Chubei. It is said that he is the first genius of Binhai Province. He has participated in two Olympic Mathematics, and both passed three rounds and broke into the national reserve team. If he had not caught a cold and a fever last year, he would have been able to enter the country. The kind of team.”

“This year is the third time to participate in the competition. It is understandable that he can get a full score in this round. After all, once he is born and twice familiar, but what the hell is Jiang Nan? I have never heard of it!”

“Is Binhai Province so strong this year?”

“Our other provinces didn’t have a full score, but their Binhai had two enchantments with full scores at the same time?”

“Fighting into a horse, terrifying!”

“…”

For a time, everyone was talking about it.

Although Jiang Nan was very famous in Binhai, it can be said that it is the kind that no one knows.

But for people from other provinces, they don’t know much.

after all……

Jiang Nan’s rise is too fast.

In less than two months, it was really difficult to reach the ears of these scholars who were not only studying but also studying.

But now…

After a year of hard study, no one asked, and once there was a perfect score, the world knew it.

Five or six hundred top academic masters from prestigious schools across the country all met Jiang Nan’s name.

But Jiang Nan didn’t care about it.

It’s just a fancy name.

He doesn’t value it at all.

on the contrary!

He shrank as much as possible in the shadow of the corner, not wanting to be noticed by too many people, and just asked Lin Yu.

“For advice, what should I do if I have only 100 points on the test paper but 101 points on the test?”

“…”

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